Hidden Attractors in Discrete Dynamical Systems [PDF]
Entropy, 2021 Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based ...
Marek Berezowski, Marcin Lawnik
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Completeness of Lyapunov Abstraction [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction.
Rafael Wisniewski, Christoffer Sloth
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Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (extended abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 In this paper, a novel computational technique for finite discrete approximation of continuous dynamical systems suitable for a significant class of biochemical dynamical systems is introduced.
L. Brim +3 more
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Canalization as a stabilizing principle of gene regulatory networks: a discrete dynamical systems perspective [PDF]
npj Systems Biology and ApplicationsGene regulatory networks exhibit remarkable stability, maintaining functional phenotypes despite genetic and environmental perturbations. Discrete dynamical models, such as Boolean networks, provide systems biologists with a tractable framework to ...
Claus Kadelka
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Category of Discrete Dynamical System
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 A dynamical system is a method that can describe the process, behavior, and complexity of a system. In general, a dynamical system consists of a discrete dynamical system and a continuous dynamical system.
Ananda Ayu Permatasari +2 more
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Dynamical properties of direct products of discrete dynamical systems
Журнал Средневолжского математического общества, 2022 A natural way for creating new dynamical systems is to consider direct products of already known systems. The paper studies some dynamical properties of direct products of homeomorphisms and diffeomorphisms.
Barinova Marina K., Shustova Evgenia K.
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Stability Switching in Lotka-Volterra and Ricker-Type Predator-Prey Systems with Arbitrary Step Size
Axioms, 2023 Dynamical properties of numerically approximated discrete systems may become inconsistent with those of the corresponding continuous-time system. We present a qualitative analysis of the dynamical properties of two-species Lotka-Volterra and Ricker-type ...
Shamika Kekulthotuwage Don +3 more
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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
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Isospectral integrability analysis of dynamical systems on discrete manifolds [PDF]
Opuscula Mathematica, 2012 It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability
Denis Blackmore +2 more
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Dynamic Characteristics of Four Systems of Difference Equations with Higher Order
Advances in Mathematical Physics, 2021 In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations.
Abdul Qadeer Khan +2 more
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